论文标题
基于电磁传播模型的近场定位的cramér-rao边界
Cramér-Rao Bounds of Near-Field Positioning Based on Electromagnetic Propagation Model
论文作者
论文摘要
在5G无线网络中广泛设想了高频带的大规模天线阵列。这导致了近场政权,其中波前不再是平面,而是球形的,为通信和定位带来了新的机会和挑战。在本文中,我们将近场定位技术从经典的球形波前模型(SWM)提高到更准确,更真实的电磁传播模型(EPM)。基于完整的EPM,开发了针对三种电场类型(向量,标量和总标量电场)具有不同观察功能(向量,标量和总标量电场)的通用近场定位模型。对于这三种观察到的电场类型,采用Cramér-Rao结合(CRB)来评估可实现的估计精度。通过将电磁传播概念与估计理论相结合,来得出不同电场观测的CRB的表达。可以进一步获得封闭形式的表达,因为假定末端位于接收天线表面的中央垂直线(CPL)上。此外,上述讨论扩展到具有多个接收天线的系统。在这种情况下,得出了使用各种电场类型的CRB,并且深入研究了不同数量的接收天线的效果。提供数值结果来量化CRB并验证分析结果。同样,评估了不同系统参数的影响,包括电场类型,波长,接收天线的大小和天线数量。
The adoption of large-scale antenna arrays at high-frequency bands is widely envisioned in the beyond 5G wireless networks. This leads to the near-field regime where the wavefront is no longer planar but spherical, bringing new opportunities and challenges for communications and positioning. In this paper, we improve the near-field positioning technology from the classical spherical wavefront model (SWM) to the more accurate and true electromagnetic propagation model (EPM). A generic near-field positioning model with different observation capabilities for three electric field types (vector, scalar, and overall scalar electric field) is developed based on the complete EPM. For these three observed electric field types, the Cramér-Rao bound (CRB) is adopted to evaluate the achievable estimation accuracy. The expressions of the CRBs for different electric field observations are derived by combining electromagnetic propagation concepts with estimation theory. Closed-form expressions can be further obtained as the terminal is assumed to be on the central perpendicular line (CPL) of the receiving antenna surface. Moreover, the above discussions are extended to the system with multiple receiving antennas. In this case, the CRBs using various electric field types are derived, and the effect of different numbers of receiving antennas is deeply investigated. Numerical results are provided to quantify the CRBs and validate the analytical results. Also, the impact of different system parameters, including electric field type, wavelength, size of the receiving antenna, and number of antennas, is evaluated.